Easy fix. Use a coarse stone in SiC (silicon carbide) or aluminum oxide; something around 120-220 works well. Turn the blade over, edge-up, and grind the spine of the blade near the broken tip, keeping the blade as low to the stone as you can, to keep the tip as acutely pointy as possible. Use tip-trailing strokes along the length of the stone, i.e., with the knife moving in opposite direction to where the tip is pointing. The idea is to grind down the spine until it intersects the sharp cutting edge in a nice, sharp & pointy tip. If the cutting edge is already well-sharpened, that's all it takes. Seems intimidating at first; but it's really surprisingly simple once you've done it for the first time.
The steel in that blade doesn't present any significant wear-resistance in the form of very hard carbides. So the grinding should be that much easier on the stones mentioned. I've also done the same thing on an aluminum oxide grinding belt (120-grit), with the belt cut and glued flat to a hard surface (hardwood, etc). The extra length of the belt, cut and laid flat, makes grinding go a lot faster, although it shouldn't take very long anyway on your knife, with that relatively small amount of damage.
You can use a block of wood or something similar to press onto the cutting edge near the tip, in order to provide a safe place for your hands to apply some pressure in the grinding. I've also used a wine cork (synthetic) for the same purpose; but you need to watch it as you work, as a sharp cutting edge will press through the cork as you work. So be careful.
A little bit of rust can usually be scrubbed off with some mineral oil and steel wool, or polished away with some metal polish (Flitz, Simichrome, etc). OR, use some Bar Keepers Friend powder, mixed to a paste with water and applied to the rust spots for 30 seconds - 1 minute, then rinsed off. Make sure you rinse it well, as the oxalic acid in the Bar Keepers Friend powder will etch the steel on it's own, if left on too long. If you don't mind some fine-satin scratches, a so-called 'rust eraser' can be used to scrub the rust off. It's basically SiC grit embedded in a rubbery binder, like a pencil eraser. It WILL alter the finish on the steel, leaving a fine satin finish. More visible on a polished blade; but on most factory finishes, it won't stand out too much.